流体动力学专论

章节摘录

版权页：插图：To study the motion of a fluid, we must identify a fluid element and describe the flowevents associated with it. One way of doing this is to identify a particular element of fluidand describe the detailed motion of this element. This is the familiar kind of descriptionadopted to study the dynamics of a particle or a rigid body, and is called the particle orLagrangian approach. However, this is not a convenient way to study the motion of a fluid.Another way to describe a fluid motion is to specify the flow properties of the fluid at aspecific location within a physical region; this is the field or Eulerian approach~ and isadopted here to study the motion of the fluid. The weather map is a good example of theEulerian approach. Since all principles of conservation are always referring to a specific massof fluid（the Lagrangian approach）, and we shall adopt the Eulerian approach in our study,we must discuss these two schemes in detail and establish the relationship of transformationbetween them.1.2. 1 Lagrangian FormulationWithin the Lagrangian scheme, we focus our attention on a particular element of thefluid and describe its flow events as time proceeds. For example, we may express the spatiallocation of an element of fluid as a function of time, t. X（t）, Y（t）, and Z（t）. The velocityand acceleration of this element of fluid is found by differentiating these functions withrespect to t. We may also use functions of the form P（t）, T（t）, and p（t） to express,respectively, the pressure, temperature, and density of this element of fluid as functions oftime. However, to make this representation meaningful, we must have some means toidentify these quantities for each fluid element in the flow field. One way of identifying afluid element is to define its spatial location at a given time.

书籍目录

CHAPTER 1 BASIC EQUATIONS GOVERNING THE FLOW OF
FLUIDS
CHAPTER 2 APPLICATION OF BERNOULLI's PRINCIPLE TO SOME
INCOMPRESSIBLE FLOWS
CHAPTER 3 POTENTIAL FLOW OF AN IDEAL FLUID
CHAPTER 4 NUMERICAL COMPUTATIONS ON FLUID DYNAMIC
PROBLEMS——WITH EMPHASIS ON INVISCID FLOWS
CHAPTER 5 VISCOUS FLOWS INTRODUCTION
CHAPTER 6 OPEN CHANNEL FLOWS INTRODUCTION
APPENDIX A A REVIEW OF VECTOR-ANALYSIS
APPENDIX B VARIOUS VECTOR EXPRESSIONS IN ORTHOGONAL
CURVILINEAR SYSTEM OF COORDINATES
APPENDIX C MATHEMATIC PROCEDURE TO COMPUTE VENA-CONTRACTING
COEFFICIENTS

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《流体动力学专论》由北京航空航天大学出版社出版的。

作者简介

《流体动力学专论》内容简介：A Treatise in Fluid Dynamics is a textbook for beginning engineering students who have background ofbasic calculus and'physics. This textbook follows a typical sequence of topics of dynamics of fluids by startingwith an introduction to the subject, concentrating on terminologies, simple concepts, and clarifying adoption ofthe system and control volume approach to describe the motion of the fluid. It then follows by unsteady im-pressible incompressible flows, impressible potential flows, numerical computation of fluid dynamic problems,viscous flows, and open channel flows. A large numbers of examples, such as sluice gate, a sharp crestedweir, jet-plate interaction, etc. , are presented throughout the textbook to emphasize the applications of fluiddynamics to various practical problems. Some simple Fortran computer programs are provided for calculatingincompressible potential flow past simple geometrical bodies based upon surface source distributions and otherproblems. As this textbook is the extended version of the lecture notes prepared by the first author throughouthis career of teaching and research in the areas of gas dynamics, fluid dynamics and thermodynamics at theUniversity of Illinois at Urbana-Champaign and Florida Atlantic University, it can serve as a useful referencebook for graduate students and researchers in the related technical fields.

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